Search a number
-
+
164250405302033 is a prime number
BaseRepresentation
bin100101010110001010000111…
…000011111110111100010001
3210112120012000011011002011202
4211112022013003332330101
5133012034312224131113
61341155332225520545
746411462106220341
oct4526120703767421
9715505004132152
10164250405302033
1148376229880556
12165089b44a3155
13708599282871b
142c7ba95040d21
1513ec7e3a06258
hex9562870fef11

164250405302033 has 2 divisors, whose sum is σ = 164250405302034. Its totient is φ = 164250405302032.

The previous prime is 164250405301979. The next prime is 164250405302069. The reversal of 164250405302033 is 330203504052461.

164250405302033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142476021614224 + 21774383687809 = 11936332^2 + 4666303^2 .

It is a cyclic number.

It is not a de Polignac number, because 164250405302033 - 240 = 163150893674257 is a prime.

It is a super-2 number, since 2×1642504053020332 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (164250405302083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82125202651016 + 82125202651017.

It is an arithmetic number, because the mean of its divisors is an integer number (82125202651017).

Almost surely, 2164250405302033 is an apocalyptic number.

It is an amenable number.

164250405302033 is a deficient number, since it is larger than the sum of its proper divisors (1).

164250405302033 is an equidigital number, since it uses as much as digits as its factorization.

164250405302033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 164250405302033 its reverse (330203504052461), we get a palindrome (494453909354494).

The spelling of 164250405302033 in words is "one hundred sixty-four trillion, two hundred fifty billion, four hundred five million, three hundred two thousand, thirty-three".